Event-Triggered Observer-Based Secure Fault Estimation and Fault-Tolerant Control for Markov Jump Systems

Abstract

This paper investigates the secure fault estimation (FE) and fault-tolerant control (FTC) problems for Markov jump systems (MJSs) under limited communication resource. First, a dynamic event-triggered mechanism (ETM) is introduced into the sensor-observer channel to alleviate communication burden. Simultaneously, to ensure network security, a class of deception attacks described by Bernoulli random variables is considered during the transmission of sampled outputs. Based on these, a novel dynamic event-triggered intermediate observer (IO) is constructed, which utilizes the sampled outputs corrupted by attack signals to estimate states, faults and disturbances of MJSs. This observer not only reduces data transmission but is also capable of resisting deception attacks. Furthermore, a fault-tolerant controller is designed to maintain system stability. Second, with the aid of augmentation methods, linear matrix inequality techniques and stochastic stability theory, a joint design method for the observer, fault-tolerant controller and dynamic ETM is developed by constructing a model-dependent Lyapunov function that incorporates a dynamic variable. Third, it is proven that the introduced dynamic ETM is free from Zeno behavior. Finally, the effectiveness of the proposed method is validated on an F-404 aircraft engine model. Note to Practitioners—MJSs, as a class of stochastic switching systems, are capable of accurately describing abrupt variations in system structures or parameters that commonly occur in practical engineering scenarios. This capability has enabled their widespread application in critical fields such as aerospace, power and communications. In these fields, frequent equipment faults pose a significant threat to system safety. On the other hand, with the increasing prevalence of networked systems, continuous data transmission imposes heavy communication burdens and increases energy consumption. Meanwhile, data transmitted over networks is vulnerable to cyber attacks. To address these issues, this paper proposes a FTC method based on a dynamic event-triggered observer. Specifically, a dynamic ETM is incorporated into the observer design, which determines whether data should be transmitted according to real-time system states, thereby avoiding unnecessary communication. Moreover, the designed observer is capable of accurately estimating system states, disturbances and faults using measurements corrupted by deception attacks. Finally, the estimated information is integrated into the fault-tolerant controller for online compensation. In summary, this paper provides a practical FTC solution for MJSs subject to communication resource constraints and deception attacks.